Projective Differential Geometry of Submanifolds - Couverture rigide

Akivis, M.A.; Goldberg, V.V.

 
9780444897718: Projective Differential Geometry of Submanifolds
Couverture rigide
ISBN 10 : 0444897712 ISBN 13 : 9780444897718
Editeur : North-Holland, 1993

Synopsis

In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are studied: submanifolds carrying a net of conjugate lines (in particular, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions etc. The method of moving frames and the apparatus of exterior differential forms are systematically used in the book and the results presented can be applied to the problems dealing with the linear subspaces or their generalizations.

Graduate students majoring in differential geometry will find this monograph of great interest, as will researchers in differential and algebraic geometry, complex analysis and theory of several complex variables.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are studied: submanifolds carrying a net of conjugate lines (in particular, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions etc. The method of moving frames and the apparatus of exterior differential forms are systematically used in the book and the results presented can be applied to the problems dealing with the linear subspaces or their generalizations.

Graduate students majoring in differential geometry will find this monograph of great interest, as will researchers in differential and algebraic geometry, complex analysis and theory of several complex variables.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
North-Holland
Date d'édition
1993
Langue
anglais
ISBN 10 
0444897712
ISBN 13 
9780444897718
Reliure
Relié
Nombre de pages
361
Coordonnées du fabricant
non disponible
Personne responsable
Buchpark GmbH
gpsr@buchpark.de

Krügerweg 1
Trebbin
Brandenburg
14959
Allemagne

Autres éditions populaires du même titre

9780444548641: Projective Differential Geometry of Submanifolds

Edition présentée

ISBN 10 :  0444548645 ISBN 13 :  9780444548641
Editeur : North Holland, 2011
Couverture souple